New Methods of Celestial Mechanics


Jan Vrbik

DOI: 10.2174/97816080518781100101000i
eISBN: 978-1-60805-187-8, 2010
ISBN: 978-1-60805-688-0

Indexed in: Scopus, EBSCO.

The book attempts to explain the main features of celestial mechanics using a new and unique technique. Its emphasis, in terms of appl...[view complete introduction]
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Linearized Kepler problem

- Pp. 1-17 (17)

Jan Vrbik


Our first objective is to reformulate the age-old problem of a satellite orbiting a primary (of a substantially bigger mass) by means of quaternion algebra.1 In subsequent chapters, this will facilitate a relatively simple construction of the problem’s iterative solution. Here we also review some details of constructing the unperturbed solution.

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